Abstract
In this chapter will give a synthesis of the proposed observers for a class of nonlinear systems . We recall that in general, the main goal of the synthesis of an observer is the complete reconstruction of the state of the system. In the linear case, it is easy to see how this is proposed: the observer is a copy of 5h3 original system with a correction term given by the output error. Eventually, if the outputs match, the trajectories of the original system and the observer system are the same.
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References
Besançon, G., De León-Morales, J., Huerta-Guevara, J.: On adaptive observers for state affine systems. Int. J. Control 79, 581–591 (2006)
Bornard, G., Couenne, N., Celle, F.: Regularly persistent observers for bilinear systems. In: Proceedings of the 29 International Conference on Nonlinear Systems. New Trends in Nonlinear System Theory, vol. 122. Springer, New York (1988)
Diops, S.: On universal observability. In: IEEE, CDC Tucson Arizona, pp. 3669–3672, 1992
Diop, S.: Closedness of morphisms of differential algebraic sets. Applications to system theory. Forum Math. 5 (5), 33–47 (1993)
Funahashi, Y.: Stable state estimator for bilinear Systems. Int. J. Control 29 (2), 181–188 (1979)
Gauthier, J.P., Hammouri, H., Othman, S.: A simple observer for nonlinear systems applications to bioreactors. IEEE Trans. Automatic Control 36 (6), 875–880 (1992)
Gauthier, J.P., Kazakos, D.: Observabilite et observateurs de systemes non lineaires. RAIRO APII Analyse des Systemes 21, 201–212 (1987)
Hara, S., Furuta, K.: Minimal order state observers for bilinear systems. Int. J. Control. 24 (5), 705–718 (1976)
Krener, A.J., Isidori, A.: Linearization by output injection and nonlinear observers. Syst. Control Lett. 3, 47–52 (1983)
Williamson, D.: Observation of bilinear systems with application to biological control. Automatica 13, 243–254 (1977)
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Martínez-Guerra, R., Cruz-Ancona, C.D. (2017). Observers for a Class of Nonlinear Systems. In: Algorithms of Estimation for Nonlinear Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-53040-6_5
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DOI: https://doi.org/10.1007/978-3-319-53040-6_5
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